IDEAS home Printed from https://ideas.repec.org/p/wpa/wuwpem/0504005.html
   My bibliography  Save this paper

Using the correlation dimension to detect non-linear dynamics: Evidence from the Athens Stock Exchange

Author

Listed:
  • David Chappell

    (Sheffield University)

  • Theodore Panagiotidis

    (Loughborough University)

Abstract

The standardised residuals from GARCH models fitted to three stock indices of the Athens Stock Exchange are examined for evidence of chaotic behaviour. In each case the correlation dimension is calculated for a range of embedding dimensions. The results do not support the hypothesis of chaotic behaviour; it appears that each set of residuals is iid.

Suggested Citation

  • David Chappell & Theodore Panagiotidis, 2005. "Using the correlation dimension to detect non-linear dynamics: Evidence from the Athens Stock Exchange," Econometrics 0504005, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpem:0504005
    Note: Type of Document - pdf; pages: 11
    as

    Download full text from publisher

    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/em/papers/0504/0504005.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. William A. Barnett & A. Ronald Gallant & Melvin J. Hinich & Jochen A. Jungeilges & Daniel T. Kaplan, 2004. "A Single-Blind Controlled Competition Among Tests for Nonlinearity and Chaos," Contributions to Economic Analysis, in: Functional Structure and Approximation in Econometrics, pages 581-615, Emerald Group Publishing Limited.
    2. Theodore Panagiotidis, 2010. "Market efficiency and the Euro: the case of the Athens stock exchange," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 37(3), pages 237-251, July.
    3. Barnett, William A. & Serletis, Apostolos, 2000. "Martingales, nonlinearity, and chaos," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 703-724, June.
    4. Gregorios Siourounis, 2002. "Modelling volatility and testing for efficiency in emerging capital markets: the case of the Athens stock exchange," Applied Financial Economics, Taylor & Francis Journals, vol. 12(1), pages 47-55.
    5. Nicholas Apergis & Sophia Eleptheriou, 2001. "Stock returns and volatility: Evidence from the Athens Stock market index," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 25(1), pages 50-61, March.
    6. John Barkoulas & Nickolaos Travlos, 1998. "Chaos in an emerging capital market? The case of the Athens Stock Exchange," Applied Financial Economics, Taylor & Francis Journals, vol. 8(3), pages 231-243.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Theodore Panagiotidis, 2010. "Market efficiency and the Euro: the case of the Athens stock exchange," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 37(3), pages 237-251, July.
    2. Ledenyov, Dimitri O. & Ledenyov, Viktor O., 2013. "Some thoughts on accurate characterization of stock market indexes trends in conditions of nonlinear capital flows during electronic trading at stock exchanges in global capital markets," MPRA Paper 49921, University Library of Munich, Germany.
    3. Theodore Panagiotidis, 2010. "An Out-of-Sample Test for Nonlinearity in Financial Time Series: An Empirical Application," Computational Economics, Springer;Society for Computational Economics, vol. 36(2), pages 121-132, August.
    4. Ayan Bhattacharya & Rudra Sensarma, 2013. "Non-linearities in Emerging Financial Markets: Evidence from India," IIM Kozhikode Society & Management Review, , vol. 2(2), pages 165-175, July.
    5. Olmedo, Elena, 2011. "Is there chaos in the Spanish labour market?," Chaos, Solitons & Fractals, Elsevier, vol. 44(12), pages 1045-1053.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Theodore Panagiotidis & David Chappell, 2004. "Using the Correlation Dimension to Detect non-linear dynamics," Discussion Paper Series 2004_17, Department of Economics, Loughborough University, revised Nov 2004.
    2. Theodore Panagiotidis, 2010. "Market efficiency and the Euro: the case of the Athens stock exchange," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 37(3), pages 237-251, July.
    3. Marisa Faggini, 2011. "Chaotic Time Series Analysis in Economics: Balance and Perspectives," Working papers 25, Former Department of Economics and Public Finance "G. Prato", University of Torino.
    4. George Filis, 2006. "Testing for Market Efficiency in Emerging Markets," Journal of Emerging Market Finance, Institute for Financial Management and Research, vol. 5(2), pages 121-133, August.
    5. Theodore Panagiotidis, 2005. "Market capitalization and efficiency. Does it matter? Evidence from the Athens Stock Exchange," Applied Financial Economics, Taylor & Francis Journals, vol. 15(10), pages 707-713.
    6. Kian-Ping Lim & M. Azali & M.S. Habibullah & Venus Khim-Sen Liew, 2003. "Are Non-Linear Dynamics a Universal Occurrence? Further Evidence From Asian Stock Markets," Finance 0308001, University Library of Munich, Germany.
    7. Caraiani, Petre, 2012. "Nonlinear dynamics in CEE stock markets indices," Economics Letters, Elsevier, vol. 114(3), pages 329-331.
    8. Kian-Ping Lim & Venus Khim-Sen Liew, 2003. "Testing for Non-Linearity in ASEAN Financial Markets," Finance 0308002, University Library of Munich, Germany.
    9. Athanassiou, Emmanuel & Kollias, Christos & Syriopoulos, Theodore, 2006. "Dynamic volatility and external security related shocks: The case of the Athens Stock Exchange," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 16(5), pages 411-424, December.
    10. Dimitrios D. Thomakos & Michail S. Koubouros, 2011. "The Role of Realised Volatility in the Athens Stock Exchange," Multinational Finance Journal, Multinational Finance Journal, vol. 15(1-2), pages 87-124, March - J.
    11. Zhong, Ming & Chang,Tsangyao & Tzeng, Han-Wen, 2014. "International Equity Diversification Between the United States and Brics Countries," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(1), pages 123-138, March.
    12. Serletis, Apostolos & Uritskaya, Olga Y., 2007. "Detecting signatures of stochastic self-organization in US money and velocity measures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(1), pages 281-291.
    13. Ioannis A. Tampakoudis & Demetres N. Subeniotis & Ioannis G. Kroustalis, 2012. "Modelling volatility during the current financial crisis: an empirical analysis of the US and the UK stock markets," International Journal of Trade and Global Markets, Inderscience Enterprises Ltd, vol. 5(3/4), pages 171-194.
    14. Hock-Ann Lee & Kian-Ping Lim & Venus Khim-Sen Liew, 2009. "Is There Any International Diversification Benefits in ASEAN Stock Markets?," Economics Bulletin, AccessEcon, vol. 29(1), pages 392-406.
    15. Kyrtsou, Catherine & Serletis, Apostolos, 2006. "Univariate tests for nonlinear structure," Journal of Macroeconomics, Elsevier, vol. 28(1), pages 154-168, March.
    16. Panayiotis Diamandis & Anastassios Drakos & Argyrios Volis, 2007. "The impact of stock incremental information on the volatility of the Athens stock exchange," Applied Financial Economics, Taylor & Francis Journals, vol. 17(5), pages 413-424.
    17. Koulakiotis, Athanasios & Babalos, Vassilios & Papasyriopoulos, Nicholas, 2016. "Financial crisis, liquidity and dynamic linkages between large and small stocks: Evidence from the Athens Stock Exchange," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 40(C), pages 46-62.
    18. Anastassios A. Drakos & Georgios P. Kouretas & Leonidas P. Zarangas, 2010. "Forecasting financial volatility of the Athens stock exchange daily returns: an application of the asymmetric normal mixture GARCH model," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 15(4), pages 331-350.
    19. Dimitrios I. Vortelinos & Dimitrios D. Thomakos, 2012. "Realized volatility and jumps in the Athens Stock Exchange," Applied Financial Economics, Taylor & Francis Journals, vol. 22(2), pages 97-112, January.
    20. Petre CARAIANI, 2015. "Testing For Nonlinearity In Unemployment Rates Via Delay Vector Variance," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(1), pages 81-92, March.

    More about this item

    Keywords

    Non-linear Dynamics; Stock Indices; Chaos; Correlation Dimension;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables
    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling
    • C8 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wpa:wuwpem:0504005. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: EconWPA (email available below). General contact details of provider: https://econwpa.ub.uni-muenchen.de .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.